5 papers
Stability of kernel bundles on projective bundles over curves
Abel Castorena, George H. Hitching
Let be a projective bundle over a smooth curve of genus , and consider the relative hyperplane bundle . Let $V \subseteq H^0 ( X , {\math…
The classification of ACM curves on a surface in
Abel Castorena, Montserrat Vite
We classify ACM curves contained in a surface of degree d in in terms of weak admissible pairs. In the case of a very general smooth determinantal quartic surface,…
Geometry of linearly stable coherent systems over curves
Abel Castorena, George H. Hitching
Let be a vector bundle over a smooth curve , and a generating space of sections of . We characterise Mumford linear stability of the associated projective model of $\…
On α-stability and linear stability of generated coherent systems
Abel Castorena, George H. Hitching
There is a well studied notion of GIT-stability for coherent systems over curves, which depends on a real parameter . For generated coherent systems, there is a further notion o…
Linear stability of coherent systems and applications to Butler's conjecture
Abel Castorena, George H. Hitching, Erick Luna
The notion of linear stability of a variety in projective space was introduced by Mumford in the context of GIT. It has subsequently been applied by Mistretta and others to Butler'…